Derived category and ACM bundles of moduli space of vector bundles on a curve

2022/01/25 by Kyoung-Seog Lee, Lee, Kyoung-Seog, Han‐Bom Moon +1 · 1 citation
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2201.10033

openalex publication_date 2022/01/25 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

We show that the derived category of a curve is embedded into the derived category of the moduli space of vector bundles on the curve of coprime rank and degree. We also generalize the semiorthogonal decomposition constructed by Narasimhan and Belmans-Mukhopadhyay. Finally, we produce a one-dimensional family of ACM bundles over the moduli space.

Cited by

• Moduli of bundles and semiorthogonal decomposition

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